A generalized pipeline cellular array has been proposed which can perform all the basic operations such as multiplication, division, squaring, and square rooting. The different modes of operation are controlled by a single control line. An expression for time delay has been obtained. Further, it has been shown that these arithmetic operations can be overlapped in the pipe in any desired sequence, and thus significant speed improvement can be achieved. The array is fully iterative and hence is suitable for large-scale integration (LSI).